STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS

DOI10.1017/fms.2020.5zbMath1456.22002arXiv1711.10238OpenAlexW3014166688MaRDI QIDQ5222162

Andreas Thom, Alexander Lubotzky, Marcus de Chiffre, L. Yu. Glebskiĭ

Publication date: 1 April 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10238

zbMATH Keywords

stabilitygroup cohomologyapproximate representationhyperlinear groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Ultraproduct techniques in Banach space theory (46B08) Linear algebraic groups over local fields and their integers (20G25) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Related Items (24)

Property of defect diminishing and stability ⋮ Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups ⋮ Continuous theory of operator expansions of finite dimensional Hilbert spaces and decidability ⋮ Testability in group theory ⋮ Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups ⋮ Almost representations of algebras and quantization ⋮ On amenable Hilbert-Schmidt stable groups ⋮ Frobenius non-stability of nilpotent groups ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Stability and instability of lattices in semisimple groups ⋮ \(C^\ast\)-stability of discrete groups ⋮ Garland's method with Banach coefficients ⋮ Stability for product groups and property \(( \tau )\) ⋮ Extensions of a residually finite group by a weakly sofic group are weakly sofic ⋮ Flexible stability and nonsoficity ⋮ Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures ⋮ Asymptotic representations of Hamiltonian diffeomorphisms and quantization ⋮ On perturbations of two general equations in several variables ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ Some results on tracial stability and graph products ⋮ Non \(p\)-norm approximated groups ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Group stability and property (T) ⋮ Curvature criterion for vanishing of group cohomology

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